We have the following two points given:
[tex](x_1=3,y_1=8)(x_2=2,y_2=2)[/tex]And we want to find the SLOPE intercept form equation given by:
[tex]y=mx+b[/tex]Where m represent the slope given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-8}{2-3}=6[/tex]And we can find the intercept b using one of the two points given like this:
[tex]2=6(2)+b\rightarrow b=2-12=-10[/tex]And then our equation would be given by:
[tex]y=6x-10[/tex]